International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 139-143
doi:10.1155/S0161171298000180
Symmetric generating set of the groups A2n+1 and S2n+1 using Sn and an element of order two
A.M. Hammas
Department of Mathematics, College of Education, P.O.Box 344, King Abdulaziz University, Madinah, Saudi Arabia
Abstract
In this paper we will show how to generate in general A2n+1 and S2n+1 using a copy of Sn and an element of order 2 in A2n+1 or S2n+1 for all positive integers n≥2. We will also show how to generate A2n+1 and S2n+1 symmetrically using n elements each of order 2.